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" 9.The roots of the equation "a(b-c)x^(2)+b(c-a)x+c(a-b)=0" are "

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If the roots of the equation a(b-c)x^(2) + b(c-a) x+c(a-b)=0 are equal, then prove that a, b, c are in H.P

Assertion (A): The roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are 1, (c(a-b))/(a(b-c)) Reason (R): If a+b+c=0 then the roots of ax^(2)+bx+c=0 are 1, (c)/(a)

Assertion (A): The roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are 1, (c(a-b))/(a(b-c)) Reason (R): If a+b+c=0 then the roots of ax^(2)+bx+c=0 are 1, (c)/(a)

The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

if the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal then show that (2)/(b)=(1)/(a)+(1)/(c)

if the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal then show that (2)/(b)=(1)/(a)+(1)/(c)

If the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal,show that 2/b=1/a+1/c.